Science of complexity: Phenomenological basis and possibility of application to problems of chemical engineering

Theoretical Foundations of Chemical Engineering

Volumn 34, Issue 4, 2000, Pages 301-312

  Timashev, S F ^a  

^a KARPOV INSTITUTE OF PHYSICAL CHEMISTRY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034214675     PISSN: 00405795     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02758677     Document Type: Article

References (35)

1. 1. Himmelblau, D., Process Analysis by Statistical Methods, New York; Wiley, 1970. Translated under the title Analiz protsessov statisticheskimi metodami, Moscow: Mir, 1973.
2. 1. Himmelblau, D., Process Analysis by Statistical Methods, New York; Wiley, 1970. Translated under the title Analiz protsessov statisticheskimi metodami, Moscow: Mir, 1973.
3. 2. Aerov, M.E. and Todes, O.M., Gidravlicheskie i teplovye osnovy raboty apparatov so statsionarnym i kipyashchim zernistym sloem (Hydraulic and Thermophysical Principles of Operation of Fixed- and Fluidized-Bed Reactors), Leningrad: Khimiya, 1968.
4. 3. Frank-Kamenetskii, D.A., Diffuziya i teploperedacha v khimicheskoi kinetike (Diffusion and Heat Transfer in Chemical Kinetics), Moscow: Nauka, 1986.
5. 4. Kaminskii, V.A., Rabinovich, A.B., and Egorov, M.V., Macrokinetics of Diffusion-Controlled Processes, Zh. Fiz. Khim., 1999, vol. 73, no. 2, p. 245.
6. 5. Cassanallo, M., Larachi, F., Legros, R., and Chaouki, J., Solids Dynamics from Experimental Trajectory Time-Series of a Single Particle Motion in Gas-Spouted Beds, Chem. Eng. Sci., 1999, vol. 54, p. 2545.
7. 6. Chen, J., Kemoun, A., Al-Dahhan, M.H., et al., Comparative Hydrodynamics Study in a Bubble Column Using Computer-Automated Radioactive Tracking (CARPT)/Computed Tomography (CT) and Particle Image Velocimetry (PIV), Chem. Eng. Sci., 1999, vol. 54, p. 2199.
8. 7. Mudde, R.F., Harteveld, W.K., van den Akker, H.E.A., et al., Gamma Radiation Densitometry for Studying the Dynamics of Fluidized Beds, Chem. Eng. Sci., 1999, vol. 54, p. 2047.
9. 8. Tayebi, D., Svendsen, H.F., Grislingas, A., et al., Dynamics of Fluidized Reactors. Development and Application of a New Multi-Fiber Optic Probe, Chem. Eng. Sci., 1999, vol. 54, p. 2113.
10. 9. Timashev, S.F., Fizikokhimiya membrannykh protsessov (Physical Chemistry of Membrane Processes), Moscow: Khimiya, 1988.
11. 10. Cornelissen, A.E., A Design Procedure for Spiral Wound Membrane Modulus, Twente: Twente Univ., 1994.
12. 11. Shapovalov, S.V. and Tyurin, V.I., Mathematical Model of Flow and Mass Transfer in an Electrochemical Cell with Eddy Liquid Flow, Elektrokhimiya, 1996, vol. 32, no. 2, p. 235.
13. 12. Bellhouse, B.J. and Millward, H.R., Proc. Int. Conf. "Euromembrane'95," Bath, 1995, vol. 1, p. 3.
14. 13. Shaposhnik, V.A., Kinetika elektrodializa (Electrodialysis Kinetics), Voronezh: Voronezh. Univ., 1989.
15. 14. Zabolotskii, V.I. and Nikonenko, V.V., Perenos ionov v membranakh (Membrane Transport of Ions), Moscow: Nauka, 1996.
16. 15. Bergé, P., Pomeau, Y., and Vidai, C., L'ordre dans le chaos: Vers une approche déterministe de la turbulence, Paris: Hermann, 1984. Translated under the title Poryadok v khaose: O deterministskom podkhode k turbulentnosti, Moscow: Mir, 1991.
17. 15. Bergé, P., Pomeau, Y., and Vidai, C., L'ordre dans le chaos: Vers une approche déterministe de la turbulence, Paris: Hermann, 1984. Translated under the title Poryadok v khaose: O deterministskom podkhode k turbulentnosti, Moscow: Mir, 1991.
18. 16. Kantz, H. and Schreiber, T., Nonlinear Time Series Analysis, Cambridge: Cambridge Univ. Press, 1997.
19. 17. Hegger, R., Kantz, H., and Schreiber, T., Practical Implementation of Nonlinear Time Series Methods: The TISEAN Package, Chaos, 1999, vol. 9, no. 2, p. 413.
20. 18. Slin'ko, M.G., Fundamentals of Mathematical Modeling of Industrial Chemical Processes, Rasshirennye tezisy lektsii pervoi sessii mezhdunarodnoi shkoly "Inzhenerno-khimicheskaya nauka dlya peredovykh tekhnologii" (Expanded Theses of the Lectures at the First Session of the Int. School "Chemical Engineering Science for Advanced Technologies"), Moscow: Nauchnoissled. Fiz.-Khim. Inst. im. L.Ya. Karpova, 1994, p. 109.
21. 19. Timashev, S.F., Dynamic Methods of the Analysis of Physicochemical and Industrial Chemical Systems, Tr. vtoroi sessii mezhdunarodnoi shkoly "Inzhenernokhimicheskaya nauka dlya peredovykh tekhnologii" (Proc. Second Session of the Int. School "Chemical Engineering Science for Advanced Technologies"), Moscow: Nauchno-issled. Fiz.-Khim. Inst. im. L.Ya. Karpova, 1996, p. 438.
22. 20. Timashev, S.F., Flicker Noise as an Indicator of the Time Arrow: Deterministic Chaos Theory Applied to the Analysis of Time Series, Ross. Khim. Zh., 1997, vol. 41, no. 3, p. 17.
23. 21. Timashev, S.F., Principles of the Evolution of Nonlinear Systems (Looking for a Language as a Means of Intercourse with Nature), Ross. Khim. Zh., 1998, vol. 42, no. 3, p. 18.
24. 22. Timashev, S.F., Complexity and Evolutionary Law for Natural Systems: A "New Dialogue" with Nature - In Looking for a Language as a Means of Intercourse with Nature, Ann. New York Acad. Sci., 1999, vol. 879, p. 129.
25. 23. Timashev, S.F., Budnikov, Ye.Yu., Kostuchenko, I.G., et al., Evolution of Dynamical Dissipative Systems as a Temporal "Colour" Fractal, in Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, New York: Plenum, 1999, p. 17.
26. 24. Parkhutik, V., Budnikov, Ye., and Timashev S., Application of Flicker-Noise Spectroscopy in Studies of Porous Silicon Growth and Properties, Mat. Sci. Eng., 2000, vol. B69/70, p. 53.
27. 25. Budnikov, E.Yu., Maksimychev, A.V., Kolyubin, A.V., et al., Wavelet Analysis in the Study of the Nature of the Overcurrent in an Electrochemical System with a Cation-Exchange Membrane, Zh. Fiz. Khim., 1999, vol. 73, no. 2, p. 198.
28. 26. Budnikov, E.Yu., Kozlov, S.V., Kolyubin, A.V., and Timashev, S.F., Analysis of Fluctuation Phenomena during Hydrogen Release at a Platinum Electrode, Zh. Fiz. Khim., 1999, vol. 73, no. 3, p. 530.
29. 27. Timashev, S.F., Bessarabov, D.G., Sanderson, R.D., et al., Description of Non-Regular Membrane Structures: A Novel Phenomenological Approach, J. Membr. Sci., 2000, vol. 170, no. 2, p. 191.
30. 28. Timashev, S.F., A New Dialogue with Nature, in Stochastic and Chaotic Dynamics in the Lakes, Broomhead, D.E., Luchinskaya, E.A., McClintock, P.V.E., and Mullin, T., Eds., New York: Am. Inst. Phys., 2000, p. 238.
31. 29. Timashev, S.F., Self-Similarity in Nature, in Stochastic and Chaotic Dynamics in the Lakes, Broomhead, D.E., Luchinskaya, E.A., McClintock, P.V.E., and Mullin, T., Eds., New York: Am. Inst. Phys., 2000. p. 562.
32. 30. Vladimirov, V.S., Uravneniya matematicheskoi fiziki (Mathematical Physics Equations), Moscow: Nauka, 1967.
33. 31. http://www.sdu.dk/tvf/statdem/Events/Chaos/chaos.html.
34. 32. Prigogine, I. and Stengers, I., Order out of Chaos: Man's New Dialogue with Nature, Toronto: Bantam Books, 1984. Translated under the title Poryadok iz khaosa: Novyi dialog cheloveka s Prirodoi, Moscow: Progress, 1986.
35. 32. Prigogine, I. and Stengers, I., Order out of Chaos: Man's New Dialogue with Nature, Toronto: Bantam Books, 1984. Translated under the title Poryadok iz khaosa: Novyi dialog cheloveka s Prirodoi, Moscow: Progress, 1986.